Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 949, 122, 264, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 949, 122, 264, 284 is 1
GCD(949, 122, 264, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 949, 122, 264, 284 is 1
GCD(949, 122, 264, 284) = 1
Given Input numbers are 949, 122, 264, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 949, 122, 264, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 122, 264, 284 is 1.
Therefore, GCD of numbers 949, 122, 264, 284 is 1
Given Input Data is 949, 122, 264, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 949 is 13 x 73
Prime Factorization of 122 is 2 x 61
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 284 is 2 x 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(949, 122) = 115778
GCD(949, 122) = ( 949 x 122 ) / 115778
GCD(949, 122) = 115778 / 115778
GCD(949, 122) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
GCD of 949, 122, 264, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 949, 122, 264, 284?
GCD of 949, 122, 264, 284 is 1
2. Where do I get the detailed procedure to find GCD of 949, 122, 264, 284?
You can find a detailed procedure to find GCD of 949, 122, 264, 284 on our page.
3. How to find GCD of 949, 122, 264, 284 on a calculator?
You can find the GCD of 949, 122, 264, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.